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On precise differentiation formula for weighted singular integrals of Sobolev functions
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2014 (English)In: 10th International conference on mathematical problems in engineering, aerosace and sciences: ICNPAA 2014 : Narvik, Norway, 15–18 July 2014 / [ed] Seenith Sivasundaram, Melville, NY: American Institute of Physics (AIP), 2014, 621-626 p.Conference paper (Refereed)
Abstract [en]

In various applications there appear integral equations of the first kind with a kernel which has a logarithmic singularity. The corresponding classes of well-posedness for such equations are Sobolev spaces. We prove the differentiation formulas for weighted singular integrals, which appear in such study, with the goal of its further application to integral equations.

Place, publisher, year, edition, pages
Melville, NY: American Institute of Physics (AIP), 2014. 621-626 p.
Series
, A I P Conference Proceedings Series, ISSN 0094-243X ; 1637
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-39608DOI: 10.1063/1.4904632Local ID: e7004fa9-2c01-4ce9-8480-66569ec48931ISBN: 978-0-7354-1276-7OAI: oai:DiVA.org:ltu-39608DiVA: diva2:1013123
Conference
International conference on mathematical problems in engineering, aerosace and sciences : 15/07/2014 - 18/07/2014
Note
Godkänd; 2014; 20141215 (lund)Available from: 2016-10-03 Created: 2016-10-03Bibliographically approved

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